AMU Medical AMU Solved Paper-2008

  • question_answer
    Pure silicon at 300 K has equal electron n, and hole \[\left( {{\text{n}}_{h}} \right)\] concentration of \[\text{1}.\text{5}\times \text{l}{{0}^{\text{16}}}\text{ }{{\text{m}}^{-3}}.\] Doping by indium increases \[{{n}_{h}}\text{to 4}.\text{5}\times \text{1}{{0}^{\text{22}}}\text{ }{{\text{m}}^{-3}}.\]The rig in the doped silicon is

    A) \[\text{9}\times \text{l}{{0}^{\text{5}}}\]                            

    B)  \[\text{5}\times \text{l}{{0}^{\text{9}}}\]

    C) \[\text{2}.\text{25}\times \text{1}{{0}^{11}}\]                                  

    D)  \[\text{3}\times \text{l}{{0}^{\text{19}}}\]

    Correct Answer: B

    Solution :

                                    \[{{n}_{e}}{{n}_{h}}={{({{n}_{i}})}^{2}}\] \[{{n}_{e}}\times 4.5\times {{10}^{22}}={{(1.5\times {{10}^{16}})}^{2}}\]                 \[{{n}_{e}}=\frac{2.25\times {{10}^{32}}}{4.5\times {{10}^{22}}}\]                 \[{{n}_{e}}=5\times {{10}^{9}}\]


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